Finding the Opposite Side in a Right Triangle

In a right triangle, one of the angles is $30^{ ext{o}}$. If the length of the hypotenuse is 10 units, find the length of the side opposite to the $30^{ ext{o}}$ angle.

Use the sine function to determine the length. Recall that in a right triangle, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Set up the equation as follows:

$$ ext{sine}(30^{ ext{o}}) = \f\frac{\text{opposite}}{\text{hypotenuse}} $$